Question

If the length of lace required for a circular table cloth is 314 cm, then diameter of the table is

Answer 1

Answer:

Answer is 10 = diameter

Step-by-step explanation:

Circumference = 2πr

Length of tape = circumference

therefore

314 = 2 * 3.14 * r

radius = 5cm

diameter will be double that of radius

so, diameter is 10cm

Answer 2

Given: Length of lace Required for a circular table is 314cm i.e circumference.

Need to find: Diameter of the table?

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❍ Let's consider the diameter of the table as x.

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As we know that,

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$\begin{gathered}\star\:{\underline{\boxed{\frak{Circumference_{\:(Circle)} = 2 \pi r }}}}\\\\\\ \bf{\dag}\:{\underline{\frak{Putting\:given\:values\:in\:formula,}}}\\\\\\ :\implies\sf 2\pi r \\\\\\ :\implies\sf r = 2 \times {\dfrac{22}{7}} \\\\\\ :\implies\sf r = 6.38 \\\\\\ :\implies{\underline{\boxed{\frak{\purple{x = 6.38}}}}}\:\bigstar\\\\ \star \: { \underline {\boxed{\frak{ Diameter = 2r} }}} \\ \\ \\ :\implies\sf 2(6.38) \\ \\ \\ :\implies\sf 12.76_{ \frak{( approx)}}\end{gathered}$

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Therefore,

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Radius of the table cloth, 2x = 6.38

Diameter of the table , x = 12.76m.

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$\therefore\:{\underline{\sf{Hence,\:Diameter \: of \: the \: table \: is \: {\bf 12.76m} \: \sf{respectively}.}}}$

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